Rms value of conduction current in a parallel plate capacitor is 6.9,μ,A . capacity of this capacit

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7.Alternating Current

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The rms value of conduction current in a parallel plate capacitor is $6.9\,\mu\,A$. The capacity of this capacitor, if it is connected to $230 V$ ac supply with an angular frequency of $600\,rad / s$, will be $....\,pF$

A

$5$

B

$50$

C

$100$

D

$200$

(JEE MAIN-2022)

Solution

Current in capacitor $I =\frac{ V }{ X _{ C }}$

$I =( V ) \times(\omega C )$

$C =\frac{ I }{ V \omega}=\frac{6.9 \times 10^{-6}}{230 \times 600}=50 pF$

Standard 12

Physics

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